Hall Sensor Basic Calculator

Derive magnetic flux density from Hall measurement voltage

Calculation
Quick Guide

Many linear Hall sensors provide an output voltage with a built-in offset. Field information is carried by Uout − U0, scaled by sensitivity and gain.

This calculator lets you quickly derive B from measurements or compute expected sensor voltage for a target field.

Schema:
1) Set sensor parameters (U₀, S, G)
2) Enter measured or target value
3) Evaluate B or U_out
Formulas (MathJax)
\[B\,[mT]=\frac{U_{out}-U_0}{S\cdot G}\]
\[U_{out}=U_0+B\cdot S\cdot G\]
\[\Delta U=U_{out}-U_0\]
\[\text{Polarity: }\Delta U>0\Rightarrow +B,\;\Delta U<0\Rightarrow -B\]
Legend
  • \(B\): Magnetic flux density [mT]
  • \(U_{out}\): measured Hall output voltage [mV]
  • \(U_0\): offset voltage (typically at B=0) [mV]
  • \(S\): sensor sensitivity [mV/mT]
  • \(G\): additional gain stage [-]
  • \(\Delta U\): useful signal relative to offset [mV]


Examples
For U_out=1420mV, U₀=1250mV, S=2.5mV/mT and G=1, the estimated field is B=68mT.
For target B=68mT and same parameters, expected sensor output is U_out=1420mV.
Detailed Documentation & Summary

Hall sensors are key elements for contactless field, current, and position measurement. In linear mode, output voltage is proportional to magnetic flux density. Correct offset compensation is critical because temperature and supply drift can shift the zero point.

This basic calculator uses a linear sensor model without saturation and without temperature-drift compensation. For precision applications, include datasheet tolerances, ADC resolution, noise, filtering, and multi-point calibration.

Summary
  • Computes B from Hall voltage with offset and gain handling
  • Supports inverse U_out calculation from target B
  • Ideal for quick commissioning and plausibility checks

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